12a
0885
(K12a
0885
)
A knot diagram
1
Linearized knot diagam
4 6 7 12 8 11 10 5 1 3 2 9
Solving Sequence
9,12
1
5,10
4 2 8 6 7 3 11
c
12
c
9
c
4
c
1
c
8
c
5
c
7
c
3
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.52853 × 10
1348
u
191
− 4.40776 × 10
1348
u
190
+ ··· + 3.02536 × 10
1349
b + 8.87488 × 10
1353
,
5.55369 × 10
1354
u
191
+ 6.03965 × 10
1354
u
190
+ ··· + 5.77581 × 10
1354
a − 9.76561 × 10
1359
,
u
192
− 66u
190
+ ··· − 260505u + 190913i
I
u
2
= h−2.32335 × 10
58
u
45
+ 9.00536 × 10
58
u
44
+ ··· + 5.08445 × 10
58
b − 2.32363 × 10
58
,
8.57429 × 10
57
u
45
− 6.83963 × 10
58
u
44
+ ··· + 5.08445 × 10
58
a − 1.60246 × 10
59
, u
46
− u
45
+ ··· + 4u + 1i
I
u
3
= hu
2
+ b − 1, a, u
3
− u + 1i
* 3 irreducible components of dim
C
= 0, with total 241 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−4.53 × 10
1348
u
191
− 4.41 × 10
1348
u
190
+ · · · + 3.03 × 10
1349
b +
8.87 × 10
1353
, 5.55 × 10
1354
u
191
+ 6.04 × 10
1354
u
190
+ · · · + 5.78 × 10
1354
a −
9.77 × 10
1359
, u
192
− 66u
190
+ · · · − 260505u + 190913i
(i) Arc colorings
a
9
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−0.961543u
191
− 1.04568u
190
+ ··· − 75031.1u + 169078.
0.149686u
191
+ 0.145693u
190
+ ··· + 10084.4u − 29334.9
a
10
=
−u
−u
3
+ u
a
4
=
−0.811857u
191
− 0.899986u
190
+ ··· − 64946.7u + 139743.
0.149686u
191
+ 0.145693u
190
+ ··· + 10084.4u − 29334.9
a
2
=
1.53091u
191
+ 1.69422u
190
+ ··· + 121583.u − 264246.
0.260752u
191
+ 0.286880u
190
+ ··· + 20365.1u − 45511.1
a
8
=
1.10499u
191
+ 1.22263u
190
+ ··· + 88020.6u − 190738.
0.139490u
191
+ 0.165249u
190
+ ··· + 11817.1u − 22474.1
a
6
=
3.00511u
191
+ 3.25714u
190
+ ··· + 233858.u − 529065.
0.0344419u
191
+ 0.0295635u
190
+ ··· + 2010.33u − 7319.91
a
7
=
0.998536u
191
+ 1.11888u
190
+ ··· + 80578.5u − 170226.
0.146191u
191
+ 0.175037u
190
+ ··· + 12554.3u − 23179.0
a
3
=
−0.222952u
191
− 0.268722u
190
+ ··· − 19410.7u + 34741.5
−0.628421u
191
− 0.691947u
190
+ ··· − 49938.6u + 108743.
a
11
=
3.38660u
191
+ 3.68537u
190
+ ··· + 264761.u − 593916.
0.724951u
191
+ 0.791999u
190
+ ··· + 57418.1u − 126129.
(ii) Obstruction class = −1
(iii) Cusp Shapes = −7.52882u
191
− 7.76256u
190
+ ··· − 547014.u + 1.39459 × 10
6
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
192
+ 11u
191
+ ··· + 11366u − 13097
c
2
u
192
+ 12u
190
+ ··· + 43u + 1
c
3
u
192
+ 6u
191
+ ··· + 162u − 81
c
4
u
192
+ u
191
+ ··· + 34724083357u − 1929655883
c
5
, c
8
u
192
− 7u
191
+ ··· − 54816024u + 2680568
c
6
u
192
− 3u
191
+ ··· + 145u + 7
c
7
u
192
− 15u
191
+ ··· − 288765u + 40025
c
9
, c
12
u
192
− 66u
190
+ ··· + 260505u + 190913
c
10
u
192
+ u
191
+ ··· + 67u + 11
c
11
u
192
+ 13u
191
+ ··· − 447056u + 393584
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
192
− 19y
191
+ ··· − 5625892080y + 171531409
c
2
y
192
+ 24y
191
+ ··· − 25y + 1
c
3
y
192
+ 8y
191
+ ··· + 4694760y + 6561
c
4
y
192
− 57y
191
+ ··· − 3.74 × 10
20
y + 3.72 × 10
18
c
5
, c
8
y
192
+ 159y
191
+ ··· − 1182090996599008y + 7185444802624
c
6
y
192
+ 27y
191
+ ··· + 4161y + 49
c
7
y
192
+ 11y
191
+ ··· + 28375301475y + 1602000625
c
9
, c
12
y
192
− 132y
191
+ ··· − 2163961974271y + 36447773569
c
10
y
192
− 5y
191
+ ··· − 37181y + 121
c
11
y
192
+ 51y
191
+ ··· + 17097698026752y + 154908365056
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.305368 + 0.942192I
a = 0.110413 − 0.540846I
b = 0.090117 + 0.706383I
4.07931 − 2.76969I 0
u = −0.305368 − 0.942192I
a = 0.110413 + 0.540846I
b = 0.090117 − 0.706383I
4.07931 + 2.76969I 0
u = 0.867048 + 0.469921I
a = −0.363887 − 0.862845I
b = 1.56487 − 0.08295I
−2.39773 − 0.74504I 0
u = 0.867048 − 0.469921I
a = −0.363887 + 0.862845I
b = 1.56487 + 0.08295I
−2.39773 + 0.74504I 0
u = 0.481447 + 0.859612I
a = −0.358476 − 0.689493I
b = −0.186779 + 0.743677I
3.17644 − 5.60653I 0
u = 0.481447 − 0.859612I
a = −0.358476 + 0.689493I
b = −0.186779 − 0.743677I
3.17644 + 5.60653I 0
u = 0.159304 + 0.965248I
a = 0.492221 + 0.736064I
b = −0.547287 − 0.604217I
1.57080 − 4.06752I 0
u = 0.159304 − 0.965248I
a = 0.492221 − 0.736064I
b = −0.547287 + 0.604217I
1.57080 + 4.06752I 0
u = 0.970622 + 0.078100I
a = −0.036052 − 1.139680I
b = 2.15368 + 2.31038I
−3.20206 − 2.23235I 0
u = 0.970622 − 0.078100I
a = −0.036052 + 1.139680I
b = 2.15368 − 2.31038I
−3.20206 + 2.23235I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.974854 + 0.339727I
a = 0.526466 + 1.165590I
b = 1.158080 − 0.784931I
0.16374 + 4.64361I 0
u = −0.974854 − 0.339727I
a = 0.526466 − 1.165590I
b = 1.158080 + 0.784931I
0.16374 − 4.64361I 0
u = 0.238694 + 1.011990I
a = −1.297170 + 0.056141I
b = 1.186040 − 0.534383I
−2.43406 + 6.12195I 0
u = 0.238694 − 1.011990I
a = −1.297170 − 0.056141I
b = 1.186040 + 0.534383I
−2.43406 − 6.12195I 0
u = 0.305304 + 0.908849I
a = −1.028910 − 0.696941I
b = 1.090190 + 0.526989I
−3.94137 − 3.92448I 0
u = 0.305304 − 0.908849I
a = −1.028910 + 0.696941I
b = 1.090190 − 0.526989I
−3.94137 + 3.92448I 0
u = 0.943288 + 0.165892I
a = 0.24864 + 2.25461I
b = −0.614650 − 0.455829I
−5.25118 − 5.63591I 0
u = 0.943288 − 0.165892I
a = 0.24864 − 2.25461I
b = −0.614650 + 0.455829I
−5.25118 + 5.63591I 0
u = 1.042920 + 0.039723I
a = −0.069996 − 1.059350I
b = −1.68735 + 3.57633I
−3.39563 − 2.19088I 0
u = 1.042920 − 0.039723I
a = −0.069996 + 1.059350I
b = −1.68735 − 3.57633I
−3.39563 + 2.19088I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.935948 + 0.517165I
a = −0.645535 + 0.204146I
b = 0.94217 + 1.10518I
−1.26562 + 8.71875I 0
u = −0.935948 − 0.517165I
a = −0.645535 − 0.204146I
b = 0.94217 − 1.10518I
−1.26562 − 8.71875I 0
u = 0.069314 + 1.089720I
a = −1.110850 + 0.091728I
b = 0.989033 + 0.287582I
−3.01334 − 0.11433I 0
u = 0.069314 − 1.089720I
a = −1.110850 − 0.091728I
b = 0.989033 − 0.287582I
−3.01334 + 0.11433I 0
u = 0.769753 + 0.479609I
a = −0.283950 + 0.796787I
b = −0.231751 + 0.208273I
−0.51327 − 2.35678I 0
u = 0.769753 − 0.479609I
a = −0.283950 − 0.796787I
b = −0.231751 − 0.208273I
−0.51327 + 2.35678I 0
u = 1.094820 + 0.007773I
a = 0.72992 − 2.16327I
b = 0.562751 + 0.193330I
−6.21148 + 5.06576I 0
u = 1.094820 − 0.007773I
a = 0.72992 + 2.16327I
b = 0.562751 − 0.193330I
−6.21148 − 5.06576I 0
u = −1.086090 + 0.146403I
a = −0.087948 − 1.053020I
b = 0.22516 + 2.39185I
−3.14940 + 11.56240I 0
u = −1.086090 − 0.146403I
a = −0.087948 + 1.053020I
b = 0.22516 − 2.39185I
−3.14940 − 11.56240I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.899444 + 0.054586I
a = 0.284465 + 1.110460I
b = 0.48414 − 1.40464I
0.49587 + 3.42536I 0
u = −0.899444 − 0.054586I
a = 0.284465 − 1.110460I
b = 0.48414 + 1.40464I
0.49587 − 3.42536I 0
u = −0.796022 + 0.759997I
a = 0.487024 − 0.914704I
b = −1.52510 − 0.02964I
−1.12884 + 8.61985I 0
u = −0.796022 − 0.759997I
a = 0.487024 + 0.914704I
b = −1.52510 + 0.02964I
−1.12884 − 8.61985I 0
u = −0.993985 + 0.477806I
a = 0.545470 − 1.274570I
b = −1.101560 + 0.254031I
−7.28880 − 2.65302I 0
u = −0.993985 − 0.477806I
a = 0.545470 + 1.274570I
b = −1.101560 − 0.254031I
−7.28880 + 2.65302I 0
u = 1.058770 + 0.309676I
a = −1.144730 + 0.666006I
b = −1.036080 − 0.737442I
−0.13894 − 5.07779I 0
u = 1.058770 − 0.309676I
a = −1.144730 − 0.666006I
b = −1.036080 + 0.737442I
−0.13894 + 5.07779I 0
u = 1.107260 + 0.067096I
a = −0.285398 + 1.107910I
b = −0.05333 − 2.07988I
−2.35852 − 2.75429I 0
u = 1.107260 − 0.067096I
a = −0.285398 − 1.107910I
b = −0.05333 + 2.07988I
−2.35852 + 2.75429I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.312180 + 0.827366I
a = 1.50708 + 0.67486I
b = −0.905828 − 0.573173I
−5.17128 − 6.53541I 0
u = 0.312180 − 0.827366I
a = 1.50708 − 0.67486I
b = −0.905828 + 0.573173I
−5.17128 + 6.53541I 0
u = 0.874586 + 0.112468I
a = −0.469015 + 0.973330I
b = −2.37603 + 1.42021I
−1.23213 − 2.20378I 0
u = 0.874586 − 0.112468I
a = −0.469015 − 0.973330I
b = −2.37603 − 1.42021I
−1.23213 + 2.20378I 0
u = 1.063830 + 0.346254I
a = −0.115968 − 0.301971I
b = 0.856147 − 0.146668I
−2.02076 − 0.56587I 0
u = 1.063830 − 0.346254I
a = −0.115968 + 0.301971I
b = 0.856147 + 0.146668I
−2.02076 + 0.56587I 0
u = 0.803548 + 0.353842I
a = 0.211760 + 0.419784I
b = −0.607727 + 1.241630I
−1.72811 − 2.09926I 0
u = 0.803548 − 0.353842I
a = 0.211760 − 0.419784I
b = −0.607727 − 1.241630I
−1.72811 + 2.09926I 0
u = 1.133420 + 0.025545I
a = −0.447167 + 0.543690I
b = −1.21044 + 0.73880I
−3.67970 + 1.40620I 0
u = 1.133420 − 0.025545I
a = −0.447167 − 0.543690I
b = −1.21044 − 0.73880I
−3.67970 − 1.40620I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.132390 + 0.085969I
a = 0.17312 + 1.48786I
b = 1.064260 − 0.632811I
−8.47850 + 4.57950I 0
u = −1.132390 − 0.085969I
a = 0.17312 − 1.48786I
b = 1.064260 + 0.632811I
−8.47850 − 4.57950I 0
u = −1.124730 + 0.173697I
a = −0.141884 + 1.209500I
b = −0.106376 − 1.113790I
−3.53497 + 4.99188I 0
u = −1.124730 − 0.173697I
a = −0.141884 − 1.209500I
b = −0.106376 + 1.113790I
−3.53497 − 4.99188I 0
u = −0.809277 + 0.288353I
a = 0.954266 + 0.733731I
b = 0.392319 − 0.327849I
1.54455 + 1.72701I 0
u = −0.809277 − 0.288353I
a = 0.954266 − 0.733731I
b = 0.392319 + 0.327849I
1.54455 − 1.72701I 0
u = −0.635234 + 0.570049I
a = 0.522799 + 0.792351I
b = 0.022074 − 0.888954I
2.03268 + 2.00343I 0
u = −0.635234 − 0.570049I
a = 0.522799 − 0.792351I
b = 0.022074 + 0.888954I
2.03268 − 2.00343I 0
u = 1.064340 + 0.468005I
a = 0.723498 − 0.029467I
b = 0.751564 + 0.213637I
1.24268 + 0.84125I 0
u = 1.064340 − 0.468005I
a = 0.723498 + 0.029467I
b = 0.751564 − 0.213637I
1.24268 − 0.84125I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.164350 + 0.058481I
a = −0.050434 + 0.695042I
b = 1.24526 − 1.49451I
−2.65715 − 1.57082I 0
u = 1.164350 − 0.058481I
a = −0.050434 − 0.695042I
b = 1.24526 + 1.49451I
−2.65715 + 1.57082I 0
u = −0.157356 + 0.812635I
a = 1.62829 − 0.44953I
b = −1.101990 + 0.371276I
−6.47800 − 2.03822I 0
u = −0.157356 − 0.812635I
a = 1.62829 + 0.44953I
b = −1.101990 − 0.371276I
−6.47800 + 2.03822I 0
u = −1.118270 + 0.356984I
a = 1.053190 + 0.818883I
b = 0.838701 − 0.716389I
0.26808 + 5.86406I 0
u = −1.118270 − 0.356984I
a = 1.053190 − 0.818883I
b = 0.838701 + 0.716389I
0.26808 − 5.86406I 0
u = 0.020401 + 1.173750I
a = 1.140610 + 0.374143I
b = −1.000230 − 0.475762I
−1.65808 − 6.79976I 0
u = 0.020401 − 1.173750I
a = 1.140610 − 0.374143I
b = −1.000230 + 0.475762I
−1.65808 + 6.79976I 0
u = −0.701610 + 0.951889I
a = −0.715301 + 0.589225I
b = 1.297320 + 0.312962I
−0.72678 − 2.51797I 0
u = −0.701610 − 0.951889I
a = −0.715301 − 0.589225I
b = 1.297320 − 0.312962I
−0.72678 + 2.51797I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.175080 + 0.167165I
a = 0.09392 + 1.67341I
b = 0.531288 − 0.494076I
−4.31427 + 4.91419I 0
u = −1.175080 − 0.167165I
a = 0.09392 − 1.67341I
b = 0.531288 + 0.494076I
−4.31427 − 4.91419I 0
u = 0.451422 + 0.674552I
a = −0.232071 + 0.371080I
b = 0.808574 − 0.610049I
−0.01951 + 2.31296I 0
u = 0.451422 − 0.674552I
a = −0.232071 − 0.371080I
b = 0.808574 + 0.610049I
−0.01951 − 2.31296I 0
u = −0.633951 + 0.465512I
a = 1.322230 − 0.170725I
b = −0.427598 − 0.964768I
1.26438 − 1.21230I 0
u = −0.633951 − 0.465512I
a = 1.322230 + 0.170725I
b = −0.427598 + 0.964768I
1.26438 + 1.21230I 0
u = 1.146370 + 0.404217I
a = −0.666920 + 0.524426I
b = −1.243780 − 0.337708I
−2.31218 − 6.47981I 0
u = 1.146370 − 0.404217I
a = −0.666920 − 0.524426I
b = −1.243780 + 0.337708I
−2.31218 + 6.47981I 0
u = −1.217410 + 0.038052I
a = −0.987024 + 0.928998I
b = −0.836116 + 0.024849I
−6.30075 + 1.93071I 0
u = −1.217410 − 0.038052I
a = −0.987024 − 0.928998I
b = −0.836116 − 0.024849I
−6.30075 − 1.93071I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.195630 + 0.252592I
a = 1.229890 − 0.082937I
b = 0.778095 − 0.159143I
−0.84744 + 2.01085I 0
u = −1.195630 − 0.252592I
a = 1.229890 + 0.082937I
b = 0.778095 + 0.159143I
−0.84744 − 2.01085I 0
u = 1.221330 + 0.130605I
a = 1.016110 − 0.572027I
b = 0.888204 + 0.554345I
−4.46644 + 2.83668I 0
u = 1.221330 − 0.130605I
a = 1.016110 + 0.572027I
b = 0.888204 − 0.554345I
−4.46644 − 2.83668I 0
u = 0.225125 + 0.736868I
a = 0.277337 − 1.119630I
b = −0.695257 + 0.968927I
1.23337 + 10.52490I 0
u = 0.225125 − 0.736868I
a = 0.277337 + 1.119630I
b = −0.695257 − 0.968927I
1.23337 − 10.52490I 0
u = −0.764209 + 0.096980I
a = −0.964939 + 0.640567I
b = −1.291280 + 0.071409I
0.37084 + 4.87903I 0
u = −0.764209 − 0.096980I
a = −0.964939 − 0.640567I
b = −1.291280 − 0.071409I
0.37084 − 4.87903I 0
u = −1.233510 + 0.084242I
a = −0.708049 + 0.160514I
b = −1.026690 + 0.237295I
−5.79287 + 2.31865I 0
u = −1.233510 − 0.084242I
a = −0.708049 − 0.160514I
b = −1.026690 − 0.237295I
−5.79287 − 2.31865I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.184960 + 0.394506I
a = 1.022800 − 0.564245I
b = 0.982713 + 0.647260I
−1.7507 − 14.7337I 0
u = 1.184960 − 0.394506I
a = 1.022800 + 0.564245I
b = 0.982713 − 0.647260I
−1.7507 + 14.7337I 0
u = −0.348484 + 0.663722I
a = 1.58572 − 0.14053I
b = −0.283625 − 0.389898I
−0.74775 − 2.53752I 0
u = −0.348484 − 0.663722I
a = 1.58572 + 0.14053I
b = −0.283625 + 0.389898I
−0.74775 + 2.53752I 0
u = 1.25346
a = −0.0604534
b = 1.20712
−2.38580 0
u = −1.150880 + 0.526517I
a = −0.525271 − 0.314656I
b = −0.636920 + 0.437989I
1.40074 + 8.00367I 0
u = −1.150880 − 0.526517I
a = −0.525271 + 0.314656I
b = −0.636920 − 0.437989I
1.40074 − 8.00367I 0
u = −0.006404 + 1.267720I
a = 1.032320 − 0.323472I
b = −1.055600 + 0.539846I
−2.7992 + 15.1385I 0
u = −0.006404 − 1.267720I
a = 1.032320 + 0.323472I
b = −1.055600 − 0.539846I
−2.7992 − 15.1385I 0
u = −1.262900 + 0.160181I
a = −0.048431 − 1.077210I
b = −1.033360 + 0.299904I
−7.72706 − 2.33747I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.262900 − 0.160181I
a = −0.048431 + 1.077210I
b = −1.033360 − 0.299904I
−7.72706 + 2.33747I 0
u = −1.222090 + 0.363341I
a = −0.776547 − 0.283739I
b = −1.058100 + 0.515747I
−3.49792 + 7.23918I 0
u = −1.222090 − 0.363341I
a = −0.776547 + 0.283739I
b = −1.058100 − 0.515747I
−3.49792 − 7.23918I 0
u = −0.250874 + 0.676510I
a = 0.591197 + 1.182170I
b = −0.551887 − 0.874213I
2.88211 − 1.95809I 0
u = −0.250874 − 0.676510I
a = 0.591197 − 1.182170I
b = −0.551887 + 0.874213I
2.88211 + 1.95809I 0
u = 1.29323
a = −0.195840
b = −0.138975
−2.45720 0
u = 0.684211 + 0.168174I
a = 0.712154 + 1.084940I
b = 0.841864 + 1.005410I
−2.73961 + 1.33459I 0
u = 0.684211 − 0.168174I
a = 0.712154 − 1.084940I
b = 0.841864 − 1.005410I
−2.73961 − 1.33459I 0
u = 0.076960 + 1.325380I
a = −0.888194 − 0.250389I
b = 0.955675 + 0.507610I
−3.32748 − 6.25467I 0
u = 0.076960 − 1.325380I
a = −0.888194 + 0.250389I
b = 0.955675 − 0.507610I
−3.32748 + 6.25467I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.521550 + 0.420439I
a = −0.887273 + 0.789250I
b = 0.704062 − 1.076010I
1.60707 + 1.95595I 0
u = 0.521550 − 0.420439I
a = −0.887273 − 0.789250I
b = 0.704062 + 1.076010I
1.60707 − 1.95595I 0
u = −0.107497 + 0.660161I
a = 0.038444 − 0.668300I
b = 0.572964 + 0.880525I
−0.06866 − 3.35072I 0
u = −0.107497 − 0.660161I
a = 0.038444 + 0.668300I
b = 0.572964 − 0.880525I
−0.06866 + 3.35072I 0
u = 0.161940 + 1.328270I
a = −0.967399 + 0.051022I
b = 1.102410 − 0.282550I
−3.98520 + 4.74023I 0
u = 0.161940 − 1.328270I
a = −0.967399 − 0.051022I
b = 1.102410 + 0.282550I
−3.98520 − 4.74023I 0
u = −1.261850 + 0.456858I
a = −0.048281 + 1.129610I
b = 1.11906 − 0.93067I
−3.94964 + 6.97406I 0
u = −1.261850 − 0.456858I
a = −0.048281 − 1.129610I
b = 1.11906 + 0.93067I
−3.94964 − 6.97406I 0
u = −1.367460 + 0.074634I
a = 0.160249 + 0.182782I
b = 1.094190 − 0.707998I
−4.60834 + 8.36376I 0
u = −1.367460 − 0.074634I
a = 0.160249 − 0.182782I
b = 1.094190 + 0.707998I
−4.60834 − 8.36376I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.307160 + 0.422218I
a = −0.058679 − 1.104600I
b = 1.70715 + 0.83779I
−10.85340 − 2.43457I 0
u = 1.307160 − 0.422218I
a = −0.058679 + 1.104600I
b = 1.70715 − 0.83779I
−10.85340 + 2.43457I 0
u = −0.316985 + 0.531413I
a = −0.14289 + 1.65232I
b = −0.344791 − 0.696827I
1.88849 + 0.95106I 0
u = −0.316985 − 0.531413I
a = −0.14289 − 1.65232I
b = −0.344791 + 0.696827I
1.88849 − 0.95106I 0
u = 0.571496 + 0.219591I
a = −0.40409 + 1.51431I
b = −0.143378 + 0.610600I
−0.56420 − 2.39531I 0
u = 0.571496 − 0.219591I
a = −0.40409 − 1.51431I
b = −0.143378 − 0.610600I
−0.56420 + 2.39531I 0
u = −1.345100 + 0.413293I
a = −0.095367 + 1.014690I
b = 1.76208 − 1.05493I
−10.0413 + 10.9965I 0
u = −1.345100 − 0.413293I
a = −0.095367 − 1.014690I
b = 1.76208 + 1.05493I
−10.0413 − 10.9965I 0
u = 1.288550 + 0.573619I
a = 0.064849 + 1.143670I
b = −1.65715 − 0.79150I
−5.77986 − 11.89360I 0
u = 1.288550 − 0.573619I
a = 0.064849 − 1.143670I
b = −1.65715 + 0.79150I
−5.77986 + 11.89360I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.373118 + 0.455824I
a = −0.20817 − 1.59069I
b = −0.957373 + 0.557853I
−0.00081 − 4.69422I 0
u = −0.373118 − 0.455824I
a = −0.20817 + 1.59069I
b = −0.957373 − 0.557853I
−0.00081 + 4.69422I 0
u = −1.36171 + 0.39816I
a = −0.142593 − 1.035660I
b = −1.51048 + 0.84369I
−8.99325 + 8.47674I 0
u = −1.36171 − 0.39816I
a = −0.142593 + 1.035660I
b = −1.51048 − 0.84369I
−8.99325 − 8.47674I 0
u = 1.41221 + 0.17637I
a = 0.352402 − 1.143940I
b = 0.959082 + 0.378682I
−8.14978 − 10.99000I 0
u = 1.41221 − 0.17637I
a = 0.352402 + 1.143940I
b = 0.959082 − 0.378682I
−8.14978 + 10.99000I 0
u = −1.26549 + 0.66225I
a = −0.458006 + 0.998938I
b = 1.227840 − 0.375071I
−9.20921 + 7.61235I 0
u = −1.26549 − 0.66225I
a = −0.458006 − 0.998938I
b = 1.227840 + 0.375071I
−9.20921 − 7.61235I 0
u = −0.530206 + 0.207411I
a = −1.63863 + 1.27254I
b = −0.744006 + 1.029000I
−1.52673 − 9.94367I 0
u = −0.530206 − 0.207411I
a = −1.63863 − 1.27254I
b = −0.744006 − 1.029000I
−1.52673 + 9.94367I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.494657 + 0.217562I
a = 0.653058 − 0.786708I
b = 0.529597 + 0.970787I
0.59507 − 3.14892I 0
u = −0.494657 − 0.217562I
a = 0.653058 + 0.786708I
b = 0.529597 − 0.970787I
0.59507 + 3.14892I 0
u = 0.379547 + 0.384622I
a = 0.454876 − 0.455503I
b = 0.539354 + 0.559995I
−1.05332 − 1.07279I 0
u = 0.379547 − 0.384622I
a = 0.454876 + 0.455503I
b = 0.539354 − 0.559995I
−1.05332 + 1.07279I 0
u = 1.46911 + 0.20606I
a = 0.016989 + 0.808138I
b = −0.90534 − 1.32188I
−5.78949 − 1.52221I 0
u = 1.46911 − 0.20606I
a = 0.016989 − 0.808138I
b = −0.90534 + 1.32188I
−5.78949 + 1.52221I 0
u = −1.40587 + 0.47673I
a = 0.114511 − 0.772378I
b = −1.56961 + 0.64387I
−7.76722 + 5.72275I 0
u = −1.40587 − 0.47673I
a = 0.114511 + 0.772378I
b = −1.56961 − 0.64387I
−7.76722 − 5.72275I 0
u = −1.38839 + 0.53978I
a = −0.041307 + 1.121380I
b = 1.48590 − 0.94450I
−6.1180 + 12.7827I 0
u = −1.38839 − 0.53978I
a = −0.041307 − 1.121380I
b = 1.48590 + 0.94450I
−6.1180 − 12.7827I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.24401 + 1.48658I
a = 0.638860 + 0.048104I
b = −0.664139 + 0.056219I
2.65781 − 3.46911I 0
u = 0.24401 − 1.48658I
a = 0.638860 − 0.048104I
b = −0.664139 − 0.056219I
2.65781 + 3.46911I 0
u = −1.44622 + 0.43583I
a = 0.181980 + 0.852605I
b = 1.136740 − 0.777783I
−3.61273 + 9.07900I 0
u = −1.44622 − 0.43583I
a = 0.181980 − 0.852605I
b = 1.136740 + 0.777783I
−3.61273 − 9.07900I 0
u = −0.009782 + 0.485112I
a = 2.15543 + 0.60671I
b = −0.262078 + 0.305987I
−0.68377 − 2.75135I 0
u = −0.009782 − 0.485112I
a = 2.15543 − 0.60671I
b = −0.262078 − 0.305987I
−0.68377 + 2.75135I 0
u = −1.52010 + 0.12631I
a = −0.281698 − 0.839435I
b = −1.056320 + 0.401587I
−10.03770 + 2.03098I 0
u = −1.52010 − 0.12631I
a = −0.281698 + 0.839435I
b = −1.056320 − 0.401587I
−10.03770 − 2.03098I 0
u = 1.41816 + 0.57563I
a = −0.034125 − 1.059210I
b = 1.54663 + 0.89883I
−7.3292 − 21.5416I 0
u = 1.41816 − 0.57563I
a = −0.034125 + 1.059210I
b = 1.54663 − 0.89883I
−7.3292 + 21.5416I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.41320 + 0.58795I
a = −0.062490 − 0.823831I
b = 1.179210 + 0.737807I
−1.69946 − 3.56423I 0
u = 1.41320 − 0.58795I
a = −0.062490 + 0.823831I
b = 1.179210 − 0.737807I
−1.69946 + 3.56423I 0
u = 1.39099 + 0.64137I
a = 0.237222 + 0.970983I
b = −0.845004 − 0.546150I
−6.78294 − 5.95935I 0
u = 1.39099 − 0.64137I
a = 0.237222 − 0.970983I
b = −0.845004 + 0.546150I
−6.78294 + 5.95935I 0
u = −1.43396 + 0.56492I
a = 0.037249 − 0.954188I
b = −1.54151 + 0.86256I
−8.1130 + 12.7117I 0
u = −1.43396 − 0.56492I
a = 0.037249 + 0.954188I
b = −1.54151 − 0.86256I
−8.1130 − 12.7117I 0
u = 1.47800 + 0.47953I
a = −0.293028 − 0.772846I
b = 1.096430 + 0.473193I
−6.47470 + 0.55735I 0
u = 1.47800 − 0.47953I
a = −0.293028 + 0.772846I
b = 1.096430 − 0.473193I
−6.47470 − 0.55735I 0
u = 1.41864 + 0.64011I
a = 0.137758 + 0.982742I
b = −1.47359 − 0.65302I
−8.0671 − 11.6435I 0
u = 1.41864 − 0.64011I
a = 0.137758 − 0.982742I
b = −1.47359 + 0.65302I
−8.0671 + 11.6435I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.37481 + 0.75565I
a = 0.360722 + 0.724625I
b = −0.926611 − 0.161998I
−6.56200 − 2.58350I 0
u = 1.37481 − 0.75565I
a = 0.360722 − 0.724625I
b = −0.926611 + 0.161998I
−6.56200 + 2.58350I 0
u = −1.46226 + 0.57947I
a = 0.113089 − 0.893297I
b = −1.12758 + 0.98032I
−3.28575 + 12.12540I 0
u = −1.46226 − 0.57947I
a = 0.113089 + 0.893297I
b = −1.12758 − 0.98032I
−3.28575 − 12.12540I 0
u = 0.122890 + 0.408429I
a = 2.30189 + 1.64637I
b = −0.703275 + 0.479145I
−0.76610 − 2.83573I −1.13464 + 3.66448I
u = 0.122890 − 0.408429I
a = 2.30189 − 1.64637I
b = −0.703275 − 0.479145I
−0.76610 + 2.83573I −1.13464 − 3.66448I
u = −0.373035 + 0.193850I
a = 2.19334 − 0.53436I
b = −0.257584 − 0.218967I
1.25803 − 1.55252I 1.37685 + 1.12877I
u = −0.373035 − 0.193850I
a = 2.19334 + 0.53436I
b = −0.257584 + 0.218967I
1.25803 + 1.55252I 1.37685 − 1.12877I
u = 1.61263 + 0.19760I
a = −0.142128 + 0.813794I
b = −0.814113 − 0.338041I
−9.00450 − 1.44614I 0
u = 1.61263 − 0.19760I
a = −0.142128 − 0.813794I
b = −0.814113 + 0.338041I
−9.00450 + 1.44614I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.12434 + 1.62143I
a = −0.735350 − 0.019949I
b = 0.614071 + 0.129106I
1.59398 − 4.89106I 0
u = −0.12434 − 1.62143I
a = −0.735350 + 0.019949I
b = 0.614071 − 0.129106I
1.59398 + 4.89106I 0
u = −1.60093 + 0.35247I
a = 0.024334 − 0.762225I
b = −1.093340 + 0.386548I
−10.18190 + 1.61547I 0
u = −1.60093 − 0.35247I
a = 0.024334 + 0.762225I
b = −1.093340 − 0.386548I
−10.18190 − 1.61547I 0
u = 1.48382 + 0.73168I
a = −0.393269 − 0.769526I
b = 0.838668 + 0.523021I
−7.72269 − 0.30401I 0
u = 1.48382 − 0.73168I
a = −0.393269 + 0.769526I
b = 0.838668 − 0.523021I
−7.72269 + 0.30401I 0
u = −1.61723 + 0.50249I
a = −0.247071 + 0.694883I
b = 0.913852 − 0.264950I
−7.98578 − 8.28623I 0
u = −1.61723 − 0.50249I
a = −0.247071 − 0.694883I
b = 0.913852 + 0.264950I
−7.98578 + 8.28623I 0
u = 0.295783 + 0.070487I
a = −0.02228 − 3.05506I
b = 0.95976 − 1.24316I
−2.06885 + 1.72860I −10.66573 − 4.92776I
u = 0.295783 − 0.070487I
a = −0.02228 + 3.05506I
b = 0.95976 + 1.24316I
−2.06885 − 1.72860I −10.66573 + 4.92776I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.76476 + 0.37397I
a = 0.034399 + 0.668992I
b = −0.793422 − 0.371066I
−8.92465 − 1.27448I 0
u = 1.76476 − 0.37397I
a = 0.034399 − 0.668992I
b = −0.793422 + 0.371066I
−8.92465 + 1.27448I 0
24
II.
I
u
2
= h−2.32×10
58
u
45
+9.01×10
58
u
44
+· · ·+5.08×10
58
b−2.32×10
58
, 8.57×
10
57
u
45
−6.84×10
58
u
44
+· · ·+5.08×10
58
a−1.60×10
59
, u
46
−u
45
+· · ·+4u+1i
(i) Arc colorings
a
9
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−0.168637u
45
+ 1.34520u
44
+ ··· − 2.00693u + 3.15168
0.456951u
45
− 1.77116u
44
+ ··· + 0.357746u + 0.457008
a
10
=
−u
−u
3
+ u
a
4
=
0.288314u
45
− 0.425952u
44
+ ··· − 1.64918u + 3.60869
0.456951u
45
− 1.77116u
44
+ ··· + 0.357746u + 0.457008
a
2
=
−2.34785u
45
+ 2.71702u
44
+ ··· − 10.1739u − 0.222372
0.0709980u
45
+ 0.0202821u
44
+ ··· − 2.28221u − 0.729688
a
8
=
−2.53842u
45
+ 3.07610u
44
+ ··· − 8.56995u − 0.282681
1.36540u
45
− 3.17519u
44
+ ··· − 1.92124u − 1.14674
a
6
=
−4.77032u
45
+ 4.09542u
44
+ ··· − 7.30351u − 0.127157
0.505287u
45
− 2.21397u
44
+ ··· + 0.538812u − 0.893287
a
7
=
−1.01031u
45
− 0.0464750u
44
+ ··· − 6.42915u + 0.0972876
1.40383u
45
− 2.95307u
44
+ ··· + 0.787708u + 0.0677596
a
3
=
0.608594u
45
− 1.21256u
44
+ ··· + 7.08772u + 2.19505
0.277914u
45
− 0.864928u
44
+ ··· + 3.56695u + 0.735874
a
11
=
1.42052u
45
− 1.31374u
44
+ ··· + 4.92353u + 1.47400
0.207427u
45
− 0.333717u
44
+ ··· + 3.78241u + 1.18037
(ii) Obstruction class = 1
(iii) Cusp Shapes = 56.7116u
45
− 103.741u
44
+ ··· + 160.878u + 54.1382
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
46
− 13u
45
+ ··· + 3u
2
+ 1
c
2
u
46
− 3u
45
+ ··· + 22u + 1
c
3
u
46
− 2u
45
+ ··· + 2u + 1
c
4
u
46
+ 3u
45
+ ··· + 241u + 31
c
5
u
46
+ 10u
45
+ ··· + 1213u + 97
c
6
u
46
− 2u
45
+ ··· + 11u
2
+ 1
c
7
u
46
− 4u
45
+ ··· + 144u
2
+ 11
c
8
u
46
− 10u
45
+ ··· − 1213u + 97
c
9
u
46
+ u
45
+ ··· − 4u + 1
c
10
u
46
+ 3u
45
+ ··· − 7u + 1
c
11
u
46
+ 8u
45
+ ··· − 24u + 4
c
12
u
46
− u
45
+ ··· + 4u + 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
− 5y
45
+ ··· + 6y + 1
c
2
y
46
+ 19y
45
+ ··· − 64y + 1
c
3
y
46
+ 18y
45
+ ··· + 46y + 1
c
4
y
46
+ 13y
45
+ ··· − 28755y + 961
c
5
, c
8
y
46
+ 48y
45
+ ··· + 271139y + 9409
c
6
y
46
+ 10y
45
+ ··· + 22y + 1
c
7
y
46
− 2y
45
+ ··· + 3168y + 121
c
9
, c
12
y
46
− 29y
45
+ ··· − 2y + 1
c
10
y
46
− 15y
45
+ ··· + y + 1
c
11
y
46
− 2y
45
+ ··· + 672y + 16
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.028920 + 0.080536I
a = −0.071638 + 1.063070I
b = 0.22651 − 2.99879I
−3.31324 + 2.24286I −3.1403 + 20.5089I
u = −1.028920 − 0.080536I
a = −0.071638 − 1.063070I
b = 0.22651 + 2.99879I
−3.31324 − 2.24286I −3.1403 − 20.5089I
u = 1.046760 + 0.131364I
a = 0.32274 + 2.23549I
b = −0.455939 − 0.495655I
−5.72591 − 5.83950I −12.9761 + 13.8144I
u = 1.046760 − 0.131364I
a = 0.32274 − 2.23549I
b = −0.455939 + 0.495655I
−5.72591 + 5.83950I −12.9761 − 13.8144I
u = −1.040630 + 0.277212I
a = 0.962769 + 0.216436I
b = 0.526120 + 0.234728I
−0.231899 + 1.217870I 0. + 2.08894I
u = −1.040630 − 0.277212I
a = 0.962769 − 0.216436I
b = 0.526120 − 0.234728I
−0.231899 − 1.217870I 0. − 2.08894I
u = 1.107900 + 0.155510I
a = 0.39567 − 1.76009I
b = 0.625914 + 0.117941I
−5.85415 + 4.46609I −6.02152 + 0.I
u = 1.107900 − 0.155510I
a = 0.39567 + 1.76009I
b = 0.625914 − 0.117941I
−5.85415 − 4.46609I −6.02152 + 0.I
u = −0.857383 + 0.087487I
a = 0.495965 + 1.009700I
b = 2.22776 + 1.74005I
−1.22876 + 2.16819I −35.2828 + 119.0483I
u = −0.857383 − 0.087487I
a = 0.495965 − 1.009700I
b = 2.22776 − 1.74005I
−1.22876 − 2.16819I −35.2828 − 119.0483I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.095240 + 0.338009I
a = −0.956514 + 0.851693I
b = −1.055010 − 0.764229I
−0.68811 − 5.67749I 0. + 10.42035I
u = 1.095240 − 0.338009I
a = −0.956514 − 0.851693I
b = −1.055010 + 0.764229I
−0.68811 + 5.67749I 0. − 10.42035I
u = 1.031610 + 0.509628I
a = −0.016779 + 0.257612I
b = −1.232680 + 0.076996I
0.09264 − 7.04184I 0. + 6.83284I
u = 1.031610 − 0.509628I
a = −0.016779 − 0.257612I
b = −1.232680 − 0.076996I
0.09264 + 7.04184I 0. − 6.83284I
u = 0.082337 + 1.151290I
a = −1.101750 + 0.159949I
b = 1.060140 − 0.470202I
−2.87772 + 5.39674I 0. − 4.68662I
u = 0.082337 − 1.151290I
a = −1.101750 − 0.159949I
b = 1.060140 + 0.470202I
−2.87772 − 5.39674I 0. + 4.68662I
u = −0.119326 + 1.226680I
a = −0.607440 − 0.019033I
b = 0.270613 − 0.128902I
3.11942 + 3.71441I 0
u = −0.119326 − 1.226680I
a = −0.607440 + 0.019033I
b = 0.270613 + 0.128902I
3.11942 − 3.71441I 0
u = −0.730715 + 0.205826I
a = 0.232335 − 1.107280I
b = −0.79448 − 2.21690I
−2.27439 + 2.33632I −20.1949 − 6.7046I
u = −0.730715 − 0.205826I
a = 0.232335 + 1.107280I
b = −0.79448 + 2.21690I
−2.27439 − 2.33632I −20.1949 + 6.7046I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.367977 + 0.609364I
a = −1.10574 + 0.97629I
b = 1.32324 + 0.57297I
−1.88833 − 1.09309I −5.59794 − 1.92814I
u = −0.367977 − 0.609364I
a = −1.10574 − 0.97629I
b = 1.32324 − 0.57297I
−1.88833 + 1.09309I −5.59794 + 1.92814I
u = 0.646129 + 0.221012I
a = 0.244795 − 1.321800I
b = 0.37151 − 1.48744I
−1.57015 − 10.96270I −3.38606 + 10.75296I
u = 0.646129 − 0.221012I
a = 0.244795 + 1.321800I
b = 0.37151 + 1.48744I
−1.57015 + 10.96270I −3.38606 − 10.75296I
u = −1.185450 + 0.650489I
a = −0.381363 + 1.126290I
b = 0.870802 − 0.487599I
−6.51168 + 6.34074I 0
u = −1.185450 − 0.650489I
a = −0.381363 − 1.126290I
b = 0.870802 + 0.487599I
−6.51168 − 6.34074I 0
u = 0.453884 + 0.389801I
a = −1.226120 + 0.424679I
b = 0.690730 − 1.041090I
1.45165 + 2.37349I 2.48972 − 9.61770I
u = 0.453884 − 0.389801I
a = −1.226120 − 0.424679I
b = 0.690730 + 1.041090I
1.45165 − 2.37349I 2.48972 + 9.61770I
u = −0.320129 + 0.426848I
a = 0.03079 + 1.58779I
b = 0.390028 − 0.842785I
1.52001 + 2.89657I 3.28401 − 7.02618I
u = −0.320129 − 0.426848I
a = 0.03079 − 1.58779I
b = 0.390028 + 0.842785I
1.52001 − 2.89657I 3.28401 + 7.02618I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.46571 + 0.19476I
a = 0.179702 − 0.831989I
b = 0.843999 + 1.073500I
−5.63866 − 10.37920I 0
u = 1.46571 − 0.19476I
a = 0.179702 + 0.831989I
b = 0.843999 − 1.073500I
−5.63866 + 10.37920I 0
u = 1.37163 + 0.57904I
a = 0.096520 + 1.041480I
b = −1.54180 − 0.80257I
−6.92722 − 11.55380I 0
u = 1.37163 − 0.57904I
a = 0.096520 − 1.041480I
b = −1.54180 + 0.80257I
−6.92722 + 11.55380I 0
u = −0.338000 + 0.357411I
a = 2.31319 − 0.58030I
b = −0.047507 − 0.904165I
−0.04163 − 1.94795I 3.34755 − 3.72536I
u = −0.338000 − 0.357411I
a = 2.31319 + 0.58030I
b = −0.047507 + 0.904165I
−0.04163 + 1.94795I 3.34755 + 3.72536I
u = −0.08298 + 1.54281I
a = 0.736523 − 0.100875I
b = −0.593222 − 0.074438I
1.61120 + 4.51582I 0
u = −0.08298 − 1.54281I
a = 0.736523 + 0.100875I
b = −0.593222 + 0.074438I
1.61120 − 4.51582I 0
u = −1.49012 + 0.57892I
a = 0.315431 − 0.825187I
b = −0.820086 + 0.585755I
−7.66009 + 0.03038I 0
u = −1.49012 − 0.57892I
a = 0.315431 + 0.825187I
b = −0.820086 − 0.585755I
−7.66009 − 0.03038I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.087733 + 0.363131I
a = 2.40974 + 0.29296I
b = 0.435075 + 0.446739I
−1.27647 − 3.23099I −11.2720 + 10.2375I
u = −0.087733 − 0.363131I
a = 2.40974 − 0.29296I
b = 0.435075 − 0.446739I
−1.27647 + 3.23099I −11.2720 − 10.2375I
u = 1.63220 + 0.13342I
a = −0.255654 + 0.725529I
b = −0.994346 − 0.370724I
−9.42078 − 2.19479I 0
u = 1.63220 − 0.13342I
a = −0.255654 − 0.725529I
b = −0.994346 + 0.370724I
−9.42078 + 2.19479I 0
u = −1.78403 + 0.29765I
a = −0.013162 − 0.638081I
b = −0.827354 + 0.396039I
−8.81817 + 1.08844I 0
u = −1.78403 − 0.29765I
a = −0.013162 + 0.638081I
b = −0.827354 − 0.396039I
−8.81817 − 1.08844I 0
34
III. I
u
3
= hu
2
+ b − 1, a, u
3
− u + 1i
(i) Arc colorings
a
9
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
0
−u
2
+ 1
a
10
=
−u
1
a
4
=
−u
2
+ 1
−u
2
+ 1
a
2
=
−u
2
− u + 1
−u
a
8
=
0
u
a
6
=
0
−u
2
+ 1
a
7
=
u − 1
−u
2
+ u
a
3
=
−u
2
− u + 1
1
a
11
=
u
2
u
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −9u
2
+ 5u + 1
35
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
u
3
− u
2
+ 2u − 1
c
2
u
3
+ 2u
2
+ 3u + 1
c
4
, c
10
u
3
+ u
2
− 1
c
5
, c
8
u
3
c
6
, c
9
, c
11
u
3
− u − 1
c
7
u
3
− 2u
2
+ u − 1
c
12
u
3
− u + 1
36
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
y
3
+ 3y
2
+ 2y −1
c
2
y
3
+ 2y
2
+ 5y −1
c
4
, c
10
y
3
− y
2
+ 2y −1
c
5
, c
8
y
3
c
6
, c
9
, c
11
c
12
y
3
− 2y
2
+ y −1
c
7
y
3
− 2y
2
− 3y −1
37
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.662359 + 0.562280I
a = 0
b = 0.877439 − 0.744862I
1.37919 + 2.82812I 3.20874 − 3.89236I
u = 0.662359 − 0.562280I
a = 0
b = 0.877439 + 0.744862I
1.37919 − 2.82812I 3.20874 + 3.89236I
u = −1.32472
a = 0
b = −0.754878
−2.75839 −21.4170
38
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
3
− u
2
+ 2u − 1)(u
46
− 13u
45
+ ··· + 3u
2
+ 1)
· (u
192
+ 11u
191
+ ··· + 11366u − 13097)
c
2
(u
3
+ 2u
2
+ 3u + 1)(u
46
− 3u
45
+ ··· + 22u + 1)
· (u
192
+ 12u
190
+ ··· + 43u + 1)
c
3
(u
3
− u
2
+ 2u − 1)(u
46
− 2u
45
+ ··· + 2u + 1)
· (u
192
+ 6u
191
+ ··· + 162u − 81)
c
4
(u
3
+ u
2
− 1)(u
46
+ 3u
45
+ ··· + 241u + 31)
· (u
192
+ u
191
+ ··· + 34724083357u − 1929655883)
c
5
u
3
(u
46
+ 10u
45
+ ··· + 1213u + 97)
· (u
192
− 7u
191
+ ··· − 54816024u + 2680568)
c
6
(u
3
− u − 1)(u
46
− 2u
45
+ ··· + 11u
2
+ 1)(u
192
− 3u
191
+ ··· + 145u + 7)
c
7
(u
3
− 2u
2
+ u − 1)(u
46
− 4u
45
+ ··· + 144u
2
+ 11)
· (u
192
− 15u
191
+ ··· − 288765u + 40025)
c
8
u
3
(u
46
− 10u
45
+ ··· − 1213u + 97)
· (u
192
− 7u
191
+ ··· − 54816024u + 2680568)
c
9
(u
3
− u − 1)(u
46
+ u
45
+ ··· − 4u + 1)
· (u
192
− 66u
190
+ ··· + 260505u + 190913)
c
10
(u
3
+ u
2
− 1)(u
46
+ 3u
45
+ ··· − 7u + 1)(u
192
+ u
191
+ ··· + 67u + 11)
c
11
(u
3
− u − 1)(u
46
+ 8u
45
+ ··· − 24u + 4)
· (u
192
+ 13u
191
+ ··· − 447056u + 393584)
c
12
(u
3
− u + 1)(u
46
− u
45
+ ··· + 4u + 1)
· (u
192
− 66u
190
+ ··· + 260505u + 190913)
39
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
3
+ 3y
2
+ 2y −1)(y
46
− 5y
45
+ ··· + 6y + 1)
· (y
192
− 19y
191
+ ··· − 5625892080y + 171531409)
c
2
(y
3
+ 2y
2
+ 5y −1)(y
46
+ 19y
45
+ ··· − 64y + 1)
· (y
192
+ 24y
191
+ ··· − 25y + 1)
c
3
(y
3
+ 3y
2
+ 2y −1)(y
46
+ 18y
45
+ ··· + 46y + 1)
· (y
192
+ 8y
191
+ ··· + 4694760y + 6561)
c
4
(y
3
− y
2
+ 2y −1)(y
46
+ 13y
45
+ ··· − 28755y + 961)
· (y
192
− 57y
191
+ ··· − 3.74 × 10
20
y + 3.72 × 10
18
)
c
5
, c
8
y
3
(y
46
+ 48y
45
+ ··· + 271139y + 9409)
· (y
192
+ 159y
191
+ ··· − 1182090996599008y + 7185444802624)
c
6
(y
3
− 2y
2
+ y −1)(y
46
+ 10y
45
+ ··· + 22y + 1)
· (y
192
+ 27y
191
+ ··· + 4161y + 49)
c
7
(y
3
− 2y
2
− 3y −1)(y
46
− 2y
45
+ ··· + 3168y + 121)
· (y
192
+ 11y
191
+ ··· + 28375301475y + 1602000625)
c
9
, c
12
(y
3
− 2y
2
+ y −1)(y
46
− 29y
45
+ ··· − 2y + 1)
· (y
192
− 132y
191
+ ··· − 2163961974271y + 36447773569)
c
10
(y
3
− y
2
+ 2y −1)(y
46
− 15y
45
+ ··· + y + 1)
· (y
192
− 5y
191
+ ··· − 37181y + 121)
c
11
(y
3
− 2y
2
+ y −1)(y
46
− 2y
45
+ ··· + 672y + 16)
· (y
192
+ 51y
191
+ ··· + 17097698026752y + 154908365056)
40
